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Finding the Third Proportional to 17,806 and 20,918

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Solution

The third proportional to 17,806 and 20,918 is: 24,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806 : 20,918 = 20,918 : x
  2. Step 2: Convert to fraction form
    17,806/20,918 = 20,918/x
  3. Step 3: Cross multiply
    17,806x = 20,918 × 20,918
  4. Step 4: Simplify right side
    17,806x = 437,562,724
  5. Step 5: Solve for x
    x = 437,562,724/17,806
  6. Step 6: Final answer
    x = 24,573.89

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.